TheoryFebruary 15, 202642 min read

Human-AI Co-Evolution as a Constrained Optimal Control Problem: Designing Socially Adaptive Agentic Operating Systems

A rigorous optimal control framework for governing human-AI co-evolution under multi-objective cost functions, partial observability, and hard safety constraints

We reformulate human-AI co-evolution as a constrained optimal-control problem. By defining a multi-objective cost function over task quality, human capability preservation, trust stability, and risk suppression, and solving Bellman-style recursions under hard constraints, we characterize co-evolution policies that Meta Cognition can approximate in MARIA OS. We extend the framework to POMDP settings for partial observability of human cognitive states and derive conditions linked to long-run social stability.

metacognitionoptimal-controlbellman-equationPOMDPco-evolutionMARIA-OSmulti-objectivesocial-stability
ArchitectureJanuary 10, 202630 min read

Designing a Decision OS as a Control System: Optimal Control via Pontryagin's Maximum Principle

Formulating the multi-agent decision pipeline as a continuous-time control problem and deriving the optimal governance law

A Decision OS can be modeled as a control system that observes governance state, applies gate/evidence controls, and steers operations toward target conditions. This paper formulates the decision pipeline as a state-space control problem with state vector `x = [risk, compliance, evidence, velocity]`, control `u = [gate_strength, human_review_rate, evidence_threshold]`, and a multi-objective cost functional. We derive a control law via Pontryagin's maximum principle and characterize co-state dynamics, using simulations to show how optimal gate strength can vary with accumulated risk and compliance margin.

optimal-controlpontryaginstate-spacemulti-objectivegovernance-lawcontrol-theory